We study the motion of elastic networks driven over a random substrate. Our model which includes local friction forces leads to complex dynamical behavior. We find a transition to a sliding state which belongs to a new universality class. The phase diagram comprises of a pinned state, a...

Dynamical critical exponents of three surface reaction models - a monomer-monomer process and two variants of the dimer-dimer process - which exhibit discontinuous kinetics phase transitions (KPTs) are evaluated. The obtained exponents differ from those characteristic of continuous KPTs and...

The teaching–learning process in a classroom context is simulated by means of the Monte Carlo method. It is found that the structure of the collaborative groups formed by the students may influence their achievements. It is shown that low-achievement students may learn at the expense of their...

Continuous irreversible phase transitions (IPT's) from active states to non-unique absorbing states in a tri-molecular irreversible reaction model have been studied using a model which involves one monomer and two different dimers, by means of Monte Carlo simulations. Dynamic critical exponents...

To shed light on the understanding of the angiogenesis process, we study a simplified lattice model for the capillary network formation between an existing blood vessel and an initially hypoxic tissue. We consider that the cells of the tissue surface can release growth factors that will diffuse,...

The standard Vicsek model (SVM) is a minimal non-equilibrium model of self-propelled particles that appears to capture the essential ingredients of critical flocking phenomena. In the SVM, particles tend to align with each other and form ordered flocks of collective motion; however,...

The spreading of damage in the Ising ferromagnet in two-dimensional confined geometries of size L×M(L⪡M) close to the critical temperature is studied by means of computer simulations. Imposing both, periodic and open boundary conditions along the M-direction, the influence of the interfaces...

The classic Katz–Lebowitz–Spohn (KLS) model is a lattice gas driven by an external field. In this paper, we study the critical behavior of the KLS model driven by an oscillatory field of strength E and period τ by means of both, Monte Carlo simulations and a coupled-map-lattice mean-field...

An Ising model for damage spreading with a probability of damage healing (q=1-p) is proposed and studied by means of Monte Carlo simulations. In the limit p→1, the new model is mapped to the standard Ising model. It is found that, for temperatures above the Onsager critical temperature (TC),...

In a forest fire model with immune trees (FFMIT) recently proposed by Drossel and Schwabl (Physica A 199 (1993) 183), the sites of the lattice are either empty, a tree or a burning tree, and at each time step the system is updated in parallel according to the following rules: (i) A burning tree...